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Finding the Fourth Proportional to 120,555.17, 180,808.05 and 45,649.48

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Solution

The fourth proportional to 120,555.17, 180,808.05 and 45,649.48 is: 68,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,555.17 : 180,808.05 = 45,649.48 : x
  2. Step 2: Convert to fraction form
    120,555.17/180,808.05 = 45,649.48/x
  3. Step 3: Cross multiply
    120,555.17x = 180,808.05 × 45,649.48
  4. Step 4: Simplify right side
    120,555.17x = 8,253,793,462.31
  5. Step 5: Solve for x
    x = 8,253,793,462.31/120,555.17
  6. Step 6: Final answer
    x = 68,464.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.